Steam's Big Picture mode was just the first step: according to Valve boss Gabe Newell,…
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"We were working on getting Dota 2 running on some tablets," he said. "That ended up being kind of a disappointment. But the good news is that tablets are getting faster very quickly, so I think we'll get the kind of performance we want and other game developers want in the near future."

And Dota 2, a game that is fast-paced, but not quite as demanding on your fingers as an eSport like StarCraft, could be a very good fit for the touch-screen interface on an iPad or Android tablet.